Consider the differential equation (2xy + 2x + sin x) dx + (x²- - cos y) dy = 0 (a) Is the equation separable? O True O False (b) Is the equation exact? O True O False (c) Is the equation linear? O True O False (d) The general solution of the equation is given by OA x²y + 2e*- cosx - siny = C O B. 3 3 -x cos y = C OC. xy² + 2ye* + y sinx = C D. x²y + siny= C OE. None of the given answers is correct
Consider the differential equation (2xy + 2x + sin x) dx + (x²- - cos y) dy = 0 (a) Is the equation separable? O True O False (b) Is the equation exact? O True O False (c) Is the equation linear? O True O False (d) The general solution of the equation is given by OA x²y + 2e*- cosx - siny = C O B. 3 3 -x cos y = C OC. xy² + 2ye* + y sinx = C D. x²y + siny= C OE. None of the given answers is correct
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the differential equation
(2xy + 2x + sin x) dx + (x²- - cos y) dy = 0
(a) Is the equation separable?
O True
O False
(b) Is the equation exact?
O True
O False
(c) Is the equation linear?
O True
O False
(d) The general solution of the equation is given by
OA x²y + 2e*- cos x - siny = C
OB. 3
X
3
-x cos y = C
OC. xy² + 2ye* + y sin x = C
D. x²y + siny= C
OE. None of the given answers is correct
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